N. V. V. J. Swamy

Nyayapathi Venkata Vaikuntha Jagannatha Swamy was a mathematical physicist. He is well known for his contributions to the physics of relativistic harmonic oscillator[1][2][3][4] which found wide applications in Atomic, Nuclear and High Energy Physics. Some of the citations to Swamy's work on the relativistic oscillator are given in references.[5][6][7][8][9][10][11][12][13][14][15][16][17][18] A review of the history and the generalized treatment of the relativistic harmonic oscillator is given by Lisboa et al.[19]

He is also well known for his group theoretical contributions to mathematical physics. His widely used textbook co-authored with Mark A. Samuel, "Group Theory Made Easy for Scientists and Engineers" (Wiley-Interscience 1979), was very popular.

L.C. Bidenharn and Swamy published very influential papers on the relativistic Kepler problem.[20][21] They introduced a symmetric Hamiltonian and solved the Dirac Equation for the Hydrogen atom. The history of this effort is given in Harold V. McIntosh's website.

  1. ^ Swamy, N. V. V. J. (1969-04-25). "Exact Solution of the Dirac Equation with an Equivalent Oscillator Potential". Physical Review. 180 (5): 1225–1226. Bibcode:1969PhRv..180.1225S. doi:10.1103/physrev.180.1225.
  2. ^ Swamy, N. V. V. J. (1970-02-15). "Erratum: Exact Solution of the Dirac Equation with an Equivalent Oscillator Potential". Physical Review D. 1 (4): 1244. doi:10.1103/physrevd.1.1244.
  3. ^ Swamy, N. V. V. J.; Chaffin, E. F. (1975). "A relativistic equivalent oscillator in cylindrical co-ordinates". Il Nuovo Cimento B. Series 11. 25 (1): 28–34. Bibcode:1975NCimB..25...28S. doi:10.1007/bf02737662. S2CID 118394985.
  4. ^ Trecia Markes, C.; Swamy, N. V. V. J. (1982). "A relativistic model of a charged oscillator in a magnetic field and its application". Il Nuovo Cimento B. 69 (2): 177–184. Bibcode:1982NCimB..69..177T. doi:10.1007/bf02721264. S2CID 118413279.
  5. ^ Kulikov, D. A.; Tutik, R. S.; Yaporoshenko, A. P. (2005-01-10). "An alternative model for the Duffin-Kemmer-Petiau oscillator". Modern Physics Letters A. 20 (1): 43–49. arXiv:hep-th/0510152. doi:10.1142/s0217732305016324. S2CID 11305530.
  6. ^ Lin, Qiong-Gui (2005). "Exact solutions for neutral particles in the field of a circularly polarized plane electromagnetic wave". Physics Letters A. 342 (1–2): 67–76. Bibcode:2005PhLA..342...67L. doi:10.1016/j.physleta.2005.05.051.
  7. ^ Lisboa, R.; Malheiro, M.; de Castro, A. S.; Alberto, P.; Fiolhais, M. (2004-02-27). "Pseudospin symmetry and the relativistic harmonic oscillator". Physical Review C. 69 (2): 024319. arXiv:nucl-th/0310071. Bibcode:2004PhRvC..69b4319L. doi:10.1103/physrevc.69.024319. S2CID 7499466.
  8. ^ Bergstrom, P. M.; Kissel, Lynn; Pratt, R. H. (1996-04-01). "Production or annihilation of positrons with bound electrons". Physical Review A. 53 (4): 2865–2868. Bibcode:1996PhRvA..53.2865B. doi:10.1103/physreva.53.2865. PMID 9913204.
  9. ^ Samuel, Mark A.; Ellis, John; Karliner, Marek (1995-05-29). "Comparison of the Padé Approximation Method to Perturbative QCD Calculations". Physical Review Letters. 74 (22): 4380–4383. arXiv:hep-ph/9503411. Bibcode:1995PhRvL..74.4380S. doi:10.1103/physrevlett.74.4380. PMID 10058492. S2CID 2925760.
  10. ^ Samuel, Mark A.; Li, Guowen; Steinfelds, Eric (1995-05-01). "Estimating perturbative coefficients in quantum field theory and statistical physics". Physical Review E. 51 (5): 3911–3933. Bibcode:1995PhRvE..51.3911S. doi:10.1103/physreve.51.3911. PMID 9963100.
  11. ^ Seltzer, Stephen M. (1993). "Calculation of Photon Mass Energy-Transfer and Mass Energy-Absorption Coefficients". Radiation Research. 136 (2): 147–170. Bibcode:1993RadR..136..147S. doi:10.2307/3578607. JSTOR 3578607. PMID 8248472.
  12. ^ Castaños, O.; Frank, A.; López, R.; Urrutia, L. F. (1991-01-15). "Soluble extensions of the Dirac oscillator with exact and broken supersymmetry". Physical Review D. 43 (2): 544–547. Bibcode:1991PhRvD..43..544C. doi:10.1103/physrevd.43.544. PMID 10013414.
  13. ^ Palathingal, J. C.; Asoka-Kumar, P.; Lynn, K. G.; Posada, Y.; Wu, X. Y. (1991-12-16). "Single-quantum annihilation of positrons with shell-bound atomic electrons". Physical Review Letters. 67 (25): 3491–3494. Bibcode:1991PhRvL..67.3491P. doi:10.1103/physrevlett.67.3491. PMID 10044749.
  14. ^ Intemann, Robert L. (1985-05-01). "DoubleK-shell ionization in electron capture decay". Physical Review C. 31 (5): 1961–1964. Bibcode:1985PhRvC..31.1961I. doi:10.1103/physrevc.31.1961. PMID 9952745.
  15. ^ Sheth, C. V. (1984-09-01). "Momentum representation of Dirac relativistic wave functions". Physical Review A. 30 (3): 1537–1539. Bibcode:1984PhRvA..30.1537S. doi:10.1103/physreva.30.1537.
  16. ^ Bambynek, W.; Behrens, H.; Chen, M. H.; Crasemann, B.; Fitzpatrick, M. L.; Ledingham, K. W. D.; Genz, H.; Mutterer, M.; Intemann, R. L. (1977-01-01). "Orbital electron capture by the nucleus". Reviews of Modern Physics. 49 (1): 77–221. Bibcode:1977RvMP...49...77B. doi:10.1103/revmodphys.49.77. hdl:2060/19760016885.
  17. ^ Frankowski, K.; Pekeris, C. L. (1966-06-03). "Logarithmic Terms in the Wave Functions of the Ground State of Two-Electron Atoms". Physical Review. 146 (1): 46–49. Bibcode:1966PhRv..146...46F. doi:10.1103/physrev.146.46.
  18. ^ INTEMANN, R. L. (1969-02-20). "Relativistic Corrections in the Theory ofK-Electron Ejection DuringKCapture". Physical Review. 178 (4): 1543–1550. Bibcode:1969PhRv..178.1543I. doi:10.1103/physrev.178.1543.
  19. ^ Lisboa, R.; Malheiro, M.; de Castro, A. S.; Alberto, P.; Fiolhais, M. (2004-02-27). "Pseudospin symmetry and the relativistic harmonic oscillator". Physical Review C. 69 (2): 024319. arXiv:nucl-th/0310071v2. Bibcode:2004PhRvC..69b4319L. doi:10.1103/physrevc.69.024319. S2CID 7499466.
  20. ^ Biedenharn, L. C. (1962-04-15). "Remarks on the Relativistic Kepler Problem". Physical Review. 126 (2): 845–851. Bibcode:1962PhRv..126..845B. doi:10.1103/physrev.126.845.
  21. ^ Biedenharn, L. C.; Swamy, N. V. V. J. (1964-03-09). "Remarks on the Relativistic Kepler Problem. II. Approximate Dirac-Coulomb Hamiltonian Possessing Two Vector Invariants". Physical Review. 133 (5B): B1353–B1360. Bibcode:1964PhRv..133.1353B. doi:10.1103/physrev.133.b1353.